Question

Determine if the limit leads to an indeterminate form, then evaluate the limit using algebra or state that it does not exist.

lim cotx/cscx
x->0

Answer 1

the answer is pepee

Answer 2

cot x/csc x = cos x
So as x----> 0. cos x ----> 1

Answer 3

Keep in mind that cot x = cos x /sin x
csc x = 1/sin x

So the expression cot x/csc x simplifies to cos x.

Answer 4

Got it?

Answer 5

ok I see how that simplifies to cos x, but is that as far as you can evaluate it? it is determinate?